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balandron [24]
1 year ago
12

Factor by grouping

le="(4y^3 + 28y^2) + (y + 7)" alt="(4y^3 + 28y^2) + (y + 7)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Inessa05 [86]1 year ago
3 0

We have the following expression given:

(4y^3+28y^2)+(y+7)

We can start selecting as common factor 4y^2 and we got:

4y^2(y+7)+(y+7)

Now we can select y+7 as common factor and we got:

(y+7)\left\lbrack 4y^2+1\right\rbrack

So then our final answer would be:

(y+7)(4y^2+1)

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Answer:

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Step-by-step explanation:

Given:

Kaitlyn is making a quilt she purchased a 46 feet long piece of lace to sew around the edges of the quilt she needs 322 inches of lace for the quilt.

Now, to find the feet of lace will be leftover.

<u><em>Total feet of lace =</em></u> <u>46</u>.

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So, by using conversion factor we change inches into feet:

12 inches = 1 foot.

322 inches = \frac{322}{12} =26.83\ feet.

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<u><em>Total feet of lace - feet of lace she need for the quilt</em></u>

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=19.17\ feet.

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